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Finding the Fourth Proportional to 408,417.14, 563,605.94 and 222,143.92

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Solution

The fourth proportional to 408,417.14, 563,605.94 and 222,143.92 is: 306,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,417.14 : 563,605.94 = 222,143.92 : x
  2. Step 2: Convert to fraction form
    408,417.14/563,605.94 = 222,143.92/x
  3. Step 3: Cross multiply
    408,417.14x = 563,605.94 × 222,143.92
  4. Step 4: Simplify right side
    408,417.14x = 125,201,631,993.23
  5. Step 5: Solve for x
    x = 125,201,631,993.23/408,417.14
  6. Step 6: Final answer
    x = 306,553.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.